x(2x-3)=(x-1)^2解方程

问题描述:

x(2x-3)=(x-1)^2解方程

2x²-3x=x²-2x+1
x²-x=1
x²-x+1/4=1+1/4
(x-1/2)²=5/4
x-1/2=±√5/2
x=(1-√5)/2,x=(1+√5)/2